QuestionCalculate $4^{3}-|-8| \cdot 6 \div 16$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $4^{3}-|-8| \cdot6 \div16$ . We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to evaluate the exponent in the expression.
$4^{} =4 \cdot4 \cdot4$

STEP 3

Calculate the value of $^{3}$ .
$^{3} = \cdot \cdot =64$

STEP 4

Next, we need to evaluate the absolute value in the expression.
$|-8| =8$

STEP 5

Now, we can replace the exponent and the absolute value in the original expression with their calculated values.
$64 -8 \cdot \div16$

STEP 6

Next, we perform the multiplication and division from left to right.
$8 \cdot6 =48$

STEP 7

Replace the multiplication in the expression with its calculated value.
$64 -48 \div16$

STEP 8

Continue with the division operation.
$48 \div16 =3$

STEP 9

Replace the division in the expression with its calculated value.
$64 -3$

STEP 10

Finally, perform the subtraction operation.
$64 -3 =61$ The result of the expression $4^{3}-|-8| \cdot6 \div16$ is61.

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QuestionCalculate $4^{3}-|-8| \cdot 6 \div 16$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $4^{3}-|-8| \cdot6 \div16$ . We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to evaluate the exponent in the expression.
$4^{} =4 \cdot4 \cdot4$

STEP 3

Calculate the value of $^{3}$ .
$^{3} = \cdot \cdot =64$

STEP 4

Next, we need to evaluate the absolute value in the expression.
$|-8| =8$

STEP 5

Now, we can replace the exponent and the absolute value in the original expression with their calculated values.
$64 -8 \cdot \div16$

STEP 6

Next, we perform the multiplication and division from left to right.
$8 \cdot6 =48$

STEP 7

Replace the multiplication in the expression with its calculated value.
$64 -48 \div16$

STEP 8

Continue with the division operation.
$48 \div16 =3$

STEP 9

Replace the division in the expression with its calculated value.
$64 -3$

STEP 10

Finally, perform the subtraction operation.
$64 -3 =61$ The result of the expression $4^{3}-|-8| \cdot6 \div16$ is61.

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QuestionCalculate 43−∣−8∣⋅6÷164^{3}-|-8| \cdot 6 \div 1643−∣−8∣⋅6÷16.

Studdy Solution

STEP 1

STEP 2

First, we need to evaluate the exponent in the expression.4=4⋅4⋅44^{} =4 \cdot4 \cdot44=4⋅4⋅4

STEP 3

Calculate the value of 3^{3}3.3=⋅⋅=64^{3} = \cdot \cdot =643=⋅⋅=64

STEP 4

Next, we need to evaluate the absolute value in the expression.∣−8∣=8|-8| =8∣−8∣=8

STEP 5

Now, we can replace the exponent and the absolute value in the original expression with their calculated values.64−8⋅÷1664 -8 \cdot \div1664−8⋅÷16

STEP 6

Next, we perform the multiplication and division from left to right.8⋅6=488 \cdot6 =488⋅6=48

STEP 7

Replace the multiplication in the expression with its calculated value.64−48÷1664 -48 \div1664−48÷16

STEP 8

Continue with the division operation.48÷16=348 \div16 =348÷16=3

STEP 9

Replace the division in the expression with its calculated value.64−364 -364−3

STEP 10

Finally, perform the subtraction operation.64−3=6164 -3 =6164−3=61The result of the expression 43−∣−8∣⋅6÷164^{3}-|-8| \cdot6 \div1643−∣−8∣⋅6÷16 is61.

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QuestionCalculate $4^{3}-|-8| \cdot 6 \div 16$ .

First, we need to evaluate the exponent in the expression.
$4^{} =4 \cdot4 \cdot4$

Calculate the value of $^{3}$ .
$^{3} = \cdot \cdot =64$

Next, we need to evaluate the absolute value in the expression.
$|-8| =8$

Now, we can replace the exponent and the absolute value in the original expression with their calculated values.
$64 -8 \cdot \div16$

Next, we perform the multiplication and division from left to right.
$8 \cdot6 =48$

Replace the multiplication in the expression with its calculated value.
$64 -48 \div16$

Continue with the division operation.
$48 \div16 =3$

Replace the division in the expression with its calculated value.
$64 -3$

Finally, perform the subtraction operation.
$64 -3 =61$ The result of the expression $4^{3}-|-8| \cdot6 \div16$ is61.